Speaker: Fu Lei, professor, Tsinghua University

Date: November 27, 2024

Time: 16:00-17:00 pm

Location: E119, Huagang East Building, Shandong University Qingdao Campus

Sponsor: School of Mathematics, Shandong University

Abstract:

To a family of representations of a reductive group, we define a hygeometric sheaf. It is a perverse sheaf. We calculate its lisse locus and its rank. We use the theory of Fourier transform over general base to relate this problem to a problem about the hypergeometric D-module, for which explicit computation can be done. We use our results to estimate exponential sums on reductive groups. This is a joint work with Xuanyou Li.

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https://www.view.sdu.edu.cn/info/1020/197395.htm